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Article
Existence and Concentration Behavior of Positive Solutions For a Kirchhoff Equation in R3
Journal of Differential Equations
  • Xiaoming He, Missouri University of Science and Technology
  • Winmeng Zou
Editor(s)
Bressan, Alberto and Chow, Shui-Nee and Mallet-Paret, John and Ni, Wei-Ming
Abstract
We study the existence, multiplicity and concentration behavior of positive solutions for the nonlinear Kirchhoff type problem where ε>0 is a parameter and a,b>0 are constants; V is a positive continuous potential satisfying some conditions and f is a subcritical nonlinear term. We relate the number of solutions with the topology of the set where V attains its minimum. The results are proved by using the variational methods.
Department(s)
Mathematics and Statistics
Keywords and Phrases
  • Positive Solutions,
  • Kirchoff Type Equation,
  • Variational Methods
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2012 Elsevier, All rights reserved.
Publication Date
1-1-2012
Citation Information
Xiaoming He and Winmeng Zou. "Existence and Concentration Behavior of Positive Solutions For a Kirchhoff Equation in R3" Journal of Differential Equations (2012)
Available at: http://works.bepress.com/xiaoming-he/22/